Kinetic Determination of Urease Activity in Fresh Pig Feces and Slurry and the E ﬀ ect on Ammonia Production at Di ﬀ erent Conditions

: Ammonia (NH 3 ) emissions have become a serious environmental pollution problem, and livestock production is an important source of NH 3 emissions, especially pig farming. The origin of NH 3 release is the hydrolysis of urea in urine that is catalyzed by urease present in feces. This research determined the urease activity in fresh feces by Michaelis–Menten kinetics and then compared the process of urea hydrolysis and ammonia production in fresh slurry. For feces, the kinetic parameters V max and K ’ m were calculated by determining the concentration of ammonium in initial 5 minutes in closed vessels, and the resulting V max and K ’ m were 26.9 ± 1.2 mmol · [urea] · kg − 1 · min − 1 and 99.7 ± 3.5 mmol · [urea] · l − 1 , respectively. In fresh slurry, the rate of urea hydrolysis determined directly was higher than the ammonium formation rate in the early stage (0–8 h) and was accompanied by a rapid rise in pH. In addition, we further explored the e ﬀ ects of temperature, pH, and mixing rate on urease activity within di ﬀ erent periods (0–5 min, 5 min–2 h and 2 h–8 h). Our observations show that the optimal urease activity occurred at 35 ◦ C, pH 6.71, and 821.83 rpm of stirring, indicating that microbial species and communities associated with urease production are a ﬀ ected by environmental conditions.


Introduction
The NH 3 emissions from anthropogenic activities have been rising since the industrial revolution. The total global NH 3 emissions are 53.6 million tons NH 3 -N year −1 , and anthropogenic sources account for about 80% of global NH 3 [1]. From the state-of-the-art emission inventory EDGAR [2], the latest data shows that total global NH 3 emissions were up to 58,942 Gg at 2012. The contribution of the livestock population (emissions from manure management and its application on fields) varies from 11,400 Gg NH 3 -N (1975) to 16,500 Gg NH 3 -N (2005), which accounts for 34.1% of total NH 3 emissions [3]. NH 3 emissions from agriculture originate from manure slurry (livestock housing, storage, and fertilization of fields) as well as urea-based mineral fertilizers [4][5][6]. China, the United States, and Europe are the main regions of agricultural NH 3 emissions, with NH 3 emissions from husbandry accounting for 21.77%, 35.68%, and 46.73% of total national emissions, respectively [3]. NH 3 is a central problem in husbandry as it is an irritant and toxic to animal and staff. Atmospheric NH 3 can also cause many negative effects ( Figure 1). NH 3 is an important precursor for the formation of fine particles (PM 2.5 ) that contribute to great harm to human health [7]. In addition, NH 3 as a However, most of the technologies are focused on animal manure management, but the mechanisms of ammonia production after the contact of feces and urine are unclear, especially the accurate determination of urease activity in fresh pig manure. As a result, the influencing factors are not clear, and these technologies are not significant enough. Previous studies on the livestock NH3 inventory were based on simply multiplying the emission factor by the AU (1 AU = [animal unit] = 500 kg) [28,29]. Furthermore, this simplicity of inventory magnifies the uncertainty of the atmospheric Pig husbandry is one of the important sources of NH 3 in the agriculture sector as it represents the largest livestock production sector in China and Europe [10][11][12]. NH 3 release from buildings are the main source, accounting for about 50% of pig NH 3 emissions [11]. Inside the pig house, the mixing of feces and urine promote the hydrolysis of urea in the urine by microbial urease present in the feces. One molecule of urea (CO(NH 2 ) 2 ) is decomposed into carbonic acid (H 2 CO 3 ) and two volatile NH 3 under the catalytic degradation of urease, as shown in Reaction 1 [13]. Urea is a very stable molecule with a half-life (t 1/2 ) of approximately 40 years at 25 • C, and therefore, it is not spontaneously hydrolyzed (degraded) [14]. However, the half-time of the urease-catalyzed reaction is only 20 ms at 25 • C, making urease one of the most proficient enzymes known to date [14][15][16].
The factors affecting NH 3 release in pig houses are varied, including housing and climate conditions, growth stages, diet composition, and manure management [11]. Since NH 3 emission have received extensive attention in recent years, mitigation technologies have been developed, including diet manipulation, covering of storage tanks, acidification or cooling of manure, use of additives and solid-liquid separation. [17][18][19][20][21]. However, from the perspective of the source, the factors affecting NH 3 volatilization in the field are very complicated and include, for example, urease activity, the manure management system, the pH values, the temperature, the relative humidity, and the air exchange flux [11,[22][23][24]. Consequently, addition and use of urease inhibitors can effectively abate urease activity and reduce NH 3 volatilization [11,[25][26][27]. Therefore, the analysis of urease in pig feces is crucial.
However, most of the technologies are focused on animal manure management, but the mechanisms of ammonia production after the contact of feces and urine are unclear, especially the accurate determination of urease activity in fresh pig manure. As a result, the influencing factors are not clear, and these technologies are not significant enough. Previous studies on the livestock NH 3 inventory were based on simply multiplying the emission factor by the AU (1 AU = [animal unit] = 500 kg) [28,29]. Furthermore, this simplicity of inventory magnifies the uncertainty of the atmospheric chemistry model.
In order to develop prediction models and help NH 3 mitigation, it is essential to better understand urease activity and NH 3 production in the source.
The aim of this study was to determine the urease activity described by Michaelis-Menten kinetics and explore the influence of pH, temperature, and mixing rate on urease activity within 8 h of contact. In addition, the hydrolysis of urea and the change of NH 4 + production and NH 3 volatilization in the mixed reaction of fresh feces and urine were measured from the beginning of contact to 96 hours. The study carried out a regression analysis on the hydrolysis of urea and the NH 3 production process, providing a theoretical basis for the prediction model of NH 3 release in pig husbandry.

Sample Collection
Fresh manure of swine was collected in the house of fattening pig (120.58 E, 36.39 N) whose weights were between 60-120 kg and growth age was 3-6 months. Both feces and urine were grabbed manually at the excretion of pigs separately and were not exposed to the ground to avoid any pollution. The samples were kept in sealed plastic bags and placed in a 4 • C incubator during transportation. All feces and urine from five different pigs were evenly mixed with equivalent mass in the laboratory and stored in the biochemical refrigerator at 4 • C. In addition, some feces and urine were frozen at −20 • C for analysis of physical and chemical properties. Determinations for urease activity were completed on the day following sampling. To better understand the NH 3 production, the feed for fattening pigs was collected. The fodder was a compound feed directly produced by the manufacturer, including crude protein (15.74%), crude fiber (5.21%), moisture (12.36%), coarse ash (4.86%), calcium (0.85%), total phosphorus (0.54%), sodium chloride (0.55%), and lysine (0.92%).

Analysis Methods
The fresh pig feces (PF) and urine (PU), including mixed slurry (MS), were analyzed in triplicate in terms of dry matter (DM), pH, total ammoniacal nitrogen (TAN = NH 3 -N+NH 4 + -N) concentration, urea concentration, and organic matter (OM) at the beginning and the end of the experiment ( Table 1). The MS was prepared for mixing according to the ratio of feces: urine = 1:3 (weight: volume). The urine was centrifuged, the supernatant was taken, filtered, and diluted, and the fresh feces were dissolved in ultrapure water, shaken at 25 • C for 2 h, and then centrifuged and filtered. A high-pressure liquid chromatography (Shimadzu, SPD-20A, Kyota, Japan) and liquid chromatography column (Thermo Scientific, Hypersil GOLD aQ, Bellefonte, PA 16823, USA) were used for the determination of urea concentration. Ultrapure water was used as the mobile phase. The flow rate and detection wavelength were 0.  To determine the kinetics of urease activity in fresh pig manure, it was first necessary to ensure the stability of the pH and temperature of the reaction system. Firstly, 0.2 M phosphate buffer solution with pH = 7.0 was prepared by mixing 1 M NaH 2 PO 4 ·2H 2 O (Sinopharm, AR, ≥99.0%, Shanghai, China) and Na 2 HPO 4 ·12H 2 O (Sinopharm, AR, ≥99.0%, Shanghai, China) in a certain proportion. May and Douglas [30] and Dai and Karring [31] used phosphate buffer to determine the urease activity in soil and animal feces, respectively. In addition, a constant temperature water bath controlled the reaction process at 25 • C, and a magnetic stirrer maintained the mixing process of the sample at 300 rpm. In fact, the complex waste generated by the livestock industry included not only feces and urine, but also feed residues and drinking water [32]. Therefore, some previous studies have suggested that the ratio of feces to urine was 1:3 (w: v) to simulate the production of fattening pig houses [33,34]. The PF samples were placed in a water bath at a constant temperature of 25 • C before the kinetic experiments. To achieve the best experimental results, the following urea concentrations were set: 0 mM, 20 mM, 40 mM, 80 mM, 100 mM, 200 mM, 400 mM, and 600 mM. Urea solid particles (Aladdin, metal basis, 99.999%, Shanghai, China) were used to make urea standard solutions and stock solutions. For each urea concentration, the amount of TAN produced during the 5 min reaction time was calculated by subtracting the initial amounts of TAN in feces from the final amount of TAN at the end of the reaction. After 5 min under closed conditions, 1 mL of the mixture sample was taken and added to 1 mL of a 0.1 M sulfuric acid solution to inhibit urease activity. After that, the sample was centrifuged at 7000 rpm for 10 min at 4 • C, and the supernatant was taken for ion chromatography to determine the ammonium nitrogen concentration. NaOH (Sinopharm, AR, ≥96%, Shanghai, China) and H 2 SO 4 standard solution (Boyao, 1.0009 mol·L −1 , Shanghai, China) were used to adjust the pH of fecal mixture. Acetic acid (Sinopharm, AR, ≥99.5%, Shanghai, China)/sodium acetate (Sinopharm, AR, ≥99.0%, Shanghai, China) buffer solution at a 0.2 M concentration was used in the reaction system for pH 5.0, 0.2 M phosphate buffer solution was used to maintain pH 6.0, 7.0, and 8.0, and 0.2 M boric acid (Sinopharm, AR, ≥99.5%, Shanghai, China)/borax (Sinopharm, AR, ≥99.5%, Shanghai, China) solution was used as a buffer for pH 9.0. Furthermore, the effect of stirring speed on urease activity was set to a gradient of 0 rpm, 200 rpm, 500 rpm, 800 rpm, and 1200 rpm at 25 • C and pH 7.0. According to the kinetic measurements of urease activity in feces, the optimal reaction rate occurred at a urea concentration of 400 mM. A concentration of 400 mM was used to measure the urease activity at different temperature, pH, and mixing rate to reflect the optimal potential of urease. After 5 min, 0.5 h, 1 h, 2 h, and 8 h of reaction, the TAN concentration was determined to analyze urease activity. In addition to pH, temperature and stirring rate were achieved by constant temperature water bath and magnetic stirring, respectively. All the experiments were performed in triplicate.

Determination of Urease Activity in Fresh Slurry
Fresh feces and urine mixed in a ratio of 1:3 (w: v) made up the fresh slurry. The reaction was carried out for a total of 96 h at 25 • C, the fresh MS was placed in closed vessel covered by a double layer of plastic wrap, and the sampling time was set to 5 min, 0.5 h, 1 h, 2 h, 8 h, 20 h, 48 h, 72 h, and 96 h, respectively. The TAN concentration, urea concentration, and pH were measured as soon as possible after mixing (time = 5 min). At the same time, the volatile NH 3 was measured using acid with 10 mL 0.1 M H 2 SO 4 placed in the gas cylinder. In this method, the pump worked to absorb the volatile NH 3 from the headspace of each glass vessel into the acid solution. The experimental device is shown in Figure 2. The initial TAN concentration of slurry was obtained by the addition of fresh PF and PU alone. The determination of urease activity in fresh slurry directly evaluated the hydrolysis of urea, the changes of pH, and the production of TAN. is shown in Figure 2. The initial TAN concentration of slurry was obtained by the addition of fresh PF and PU alone. The determination of urease activity in fresh slurry directly evaluated the hydrolysis of urea, the changes of pH, and the production of TAN.

Statistical Data Treatment
All the experiments were triplicated. The mean values for the main characteristics of fresh feces, urine, and slurry were analyzed by one-way analysis of variance (ANOVA) and the Tukey test at the p < 0.05 level. This method was also used to compare the evolution of TAN formation in different conditions. Regression analysis was used to determine the maximum urea hydrolysis level, the evolution of TAN, and urea concentration in slurry as shown in Figure  (2) where minitial is the mass of fresh pig feces, mdry, final represents the mass after drying, and mburu,final is the mass of the muffle after burning. All the experiments were performed in triplicate.
The enzymatic reactions of urease can be described by Michaelis-Menten kinetics according to where V is the rate of the enzymatic reaction, [S] is the substrate concentration, Vmax is the maximum rate of the enzymatic reaction, and K'm is the apparent Michaelis constant [33]. The Michaelis-Menten kinetic curve shows that the enzymatic reaction can be divided into two stages: a first-order reaction and zero-order reaction [35,36]. The K'm value reflects the affinity between the substrate and the enzyme. The larger the K'm value, the smaller the affinity and the lower the catalytic activity of the enzyme [35,37]. Equation 3 becomes linear in form upon taking the reciprocal of both sides, as shown in Equation 4, that is, it is a Lineweaver-Burk plot [37].

Statistical Data Treatment
All the experiments were triplicated. The mean values for the main characteristics of fresh feces, urine, and slurry were analyzed by one-way analysis of variance (ANOVA) and the Tukey test at the p < 0.05 level. This method was also used to compare the evolution of TAN formation in different conditions. Regression analysis was used to determine the maximum urea hydrolysis level, the evolution of TAN, and urea concentration in slurry as shown in Figure 3b, Figure 6a The DM and OM were calculated as Equation (1) and Equation (2): where m initial is the mass of fresh pig feces, m dry, final represents the mass after drying, and m buru,final is the mass of the muffle after burning. All the experiments were performed in triplicate.
The enzymatic reactions of urease can be described by Michaelis-Menten kinetics according to Equation (3).
where V is the rate of the enzymatic reaction, [S] is the substrate concentration, V max is the maximum rate of the enzymatic reaction, and K' m is the apparent Michaelis constant [33]. The Michaelis-Menten kinetic curve shows that the enzymatic reaction can be divided into two stages: a first-order reaction and zero-order reaction [35,36]. The K' m value reflects the affinity between the substrate and the enzyme. The larger the K' m value, the smaller the affinity and the lower the catalytic activity of the enzyme [35,37]. Equation (3) becomes linear in form upon taking the reciprocal of both sides, as shown in Equation (4), that is, it is a Lineweaver-Burk plot [37].
When l/V is plotted against 1/ [S], the ordinate intercept is 1/V max and the slope of the straight line is K' m /V max , thus the urease activity can be evaluated by the regression method of Equation (4).

Chemical and Physical Properties of Fresh Pig Feces, Urine and Mixed Slurry
The initial properties including the TAN, urea concentration, the content of DM and OM, and pH of fresh PF, PU, and MS (after 96 h incubation) are given in Table 1. The pH values of both pig feces and urine were similar, at 6.73 ± 0.02 and 6.93 ± 0.01, respectively. Once the PF and PU contacted and mixed enough, the pH values rose rapidly and remained at 8.61 ± 0.04 after 96 h. The DM of PF (29.63 ± 0.26%) was approximately 22% higher than the MS (7.76 ± 0.18%) because of the addition of large amounts of liquid urine and the decomposition of some dry matter. In the meantime, changes in OM content also confirmed this observation. The OM content in the fully reacted slurry at 96 h decreased by 9.33% compared with the fresh feces, caused by the activities of microorganisms. The TAN value in the fresh feces (69.0 ± 8.1 mmol·kg −1 ) was higher than the urine (31.6 ± 1.3 mM), but the concentration of urea in the initial urea was as high as 421.7 ± 1.1 mM, which was 5.2 times higher than that in the feces (81.3 ± 5.2 mmol·kg −1 ) (p < 0.05). After 96 h incubation, the TAN values of MS increased significantly (p < 0.05), but the urea concentration became undetectable. The ammonium nitrogen in the slurry was mainly from the hydrolysis of urea in urine instead of the mineralization of feces throughout this period [6,16].
Dietary protein levels affect urea excretion and hence NH 3 production in fattening pigs. The contents of crude protein, crude fiber, dry matter, and lysine in the collected feed were consistent with previous research [32,38]. The dry matter of feces observed was higher than the results of Dai and Karring [31] and coincided with those reported by Canh et al. [33]. The TAN and pH of fresh pig feces and urine (Table 1) was also consistent with previous results [31], but the values for slurry were higher than previously reported [38]. The urea concentrations of feces and urine were 2. 16 [31] (99.2 ± 2.5 mM), respectively. These results show that the TAN and urea concentrations of pig urine and slurry in this study were relatively high.

Urease Activity in Fresh Feces from Fattening Pigs
The urease activity in fresh feces from fattening pigs were investigated by calculating the rates of TAN formation in the mixture of fresh PF and urea solutions of different concentrations. Since the rate of TAN formation decreased significantly with time, the reaction time was fixed at 5 minutes to achieve significant and optimal measurements [31]. When urea concentration increased from 0 to 600 mM, the fresh pig feces reached the maximum rate of TAN formation in 400 mM urea solution. It did not increase in 600 mM solution, probably due to the saturation of the reaction or inhibition from the substrate. According to the kinetic requirements of enzymatic reactions, the reaction rates of TAN formation per wet weight (mmol·kg −1 ·min −1 ) were calculated and converted into specific reaction rates of urea hydrolysis (mmol·[urea]·kg −1 ·min −1 ) based on Reaction 1. The rates of urea hydrolysis are presented in Michaelis-Menten curves and Lineweaver-Burk plots using regression analyses (Equations (5) and (6)). The specific V max and the K' m values were determined. The maximum rate of TAN formation in reaction with fresh pig feces was 53.8 ± 2.5 mmol·kg −1 ·min −1 at a urea concentration of 400 mM. From the Michaelis-Menten curves, the specific V max and the K' m values of urease activity in fresh pig feces were 26.9 ± 1.2 mmol·[urea]·kg −1 ·min −1 and 99.7 ± 3.5 mmol·[urea]·l −1 , respectively ( Figure 3). For comparison, the specific V max and the K' m values were also measured from the Lineweaver-Burk plots and were 45.5 mmol·[urea]·kg −1 ·min −1 and 168.8 mmol·[urea]·l −1 , respectively ( Figure 3). These values were larger than those determined from the Michaelis-Menten curves since the Michaelis-Menten curve close to V max is a gradual process, and the predicted V max value is less than that measured after regression analysis. Consequently, the V max and K' m values from the Lineweaver-Burk plots are more accurate.
The concentration of TAN formation was determined and compared in the mixtures of feces-urine and feces-urea solution (same as urea concentration in urine) in the initial 5 minutes, 30 minutes, and 1 hour. The hydrolysis of urea was faster in urea solution than in urine. The corresponding rates of TAN formation were converted into the urea-based hydrolysis rate (mmol·[urea]·kg −1 ·min −1 ) for better comparison and description of kinetics (Figure 3a). The maximum rate of urea hydrolysis and the K' m value are larger than those previously reported by Dai and Karring [31] (V max = 2.06 ± 0.08 mmol·[urea]·kg −1 ·min −1 , K' m = 32.59 ± 5.65 mmol·[urea]·l −1 ). Several factors including the collected sample, microbial activities, experimental temperature, reaction time, agitation degree, and determination method may lead to the large variations [13]. This study has been strictly controlled from sample collection to experimental procedures. Compared with the V max and K' m value of urease in cattle feces, pig feces had a higher K' m value in the same conditions [31]. The urease in plants (like jack bean) is the most widespread in nature, and the K' m values were between 2.9-3.6 mmol·[urea]·l −1 for jack bean urease and between 0.2-0.6 mmol·[urea]·l −1 for soybean [39]. This shows that plant urease has better affinity with the substrate than urease in feces.

TheEffects of Temperature, pH, and Mixing Rate on Urease Activity in Fresh Pig Feces
To the best of our knowledge, there is no available data on the mechanism of NH 3 emission under different conditions. In order to directly compare urease activity in fresh feces under different conditions, temperature, pH, and mixing rate were evaluated. The TAN concentrations of samples were determined at 5 min, 30 min, 1 h, 2 h, and 8 h. The reaction time was divided into 3 stages: the first 5 minutes, from 5 minutes to 2 hours, and from 2 hours to 8 hours. The rates and amount of TAN formation were calculated in three different stages at different temperature, pH, and mixing rate values (Figure 4). The reference condition of TAN formation is 25 • C, pH 7.0, and 300 rpm.  The maximum production of TAN in 8 hours was achieved at 500 rpm (686.3 ± 22.4 mM). The maximum rate of TAN formation occurred at the first 5 minutes at the magnetic stirring speed of 800 rpm (47.3 ± 8.1 mM·min -1 ) (Figure 4c). At the low agitation levels, the amount of TAN remaining in mixtures was significantly higher than at high speed (p < 0.05). Taking the TAN production at pH 7.0 and 300 rpm as a reference, the relative productions of TAN were 60.62%, 131.11%, 156.50%, 97.32%, and 80.96% in the whole process of 8 hours at mixing rate values of 0 rpm, 200 rpm, 500 rpm, 800 rpm, and 1200 rpm, respectively. The low agitation could not reduce TAN production for a long time, but the initial stage was significantly affected. Excessive mixing rates did not allow more TAN to remain in the fecal system. The excessive mixing rate probably caused the pH to rise rapidly, accompanied by a large release of gaseous NH3 (Figure 6d). Van der Stelt et al. [41] found that mixing promoted the volatilization of NH3 in the slurry in the presence of additives.
To further define the optimal experimental conditions affecting the production of TAN, a response surface analysis was performed. While maintaining a single factor constant, the TAN formation rate was used as the response value, and the interaction of the other two conditions on the response value was explored in the initial 5 minutes ( Figure 5). From the above response surface analysis, when the temperature was 35°C, pH = 6.71, and the mixing rate reached 821.83 rpm in the initial 5 minutes, the urease in fresh PF showed the best activity. A higher temperature was not tested The total TAN production in the full 8 hours and the first 5 minutes were 414.5 mM and 170.2 mM (p < 0.05) at 25 • C (Figure 4). The relative total amounts of TAN formation were 18.46%, 45.57%, 103.47%, and 151.75% at temperature values of 15 • C, 20 • C, 30 • C, and 35 • C compared to 25 • C, respectively. The production of TAN was greatly reduced at low temperature (Figure 4a). The maximum rate determined for TAN formation reached 51.7 ± 10.2 mM·min −1 in the first 5 minutes at 35 • C. The pH values were stable at low temperature (15-20 • C), but once the temperature reached 25 • C or higher, the buffer capacity of the substrate would decrease, corresponding to the increase of pH values in third stage (2 h-8 h).This result proved that temperature was the key factor promoting urea hydrolysis from 15 • C to 35 • C. Dewes [40] and Van der Stelt et al. [41] also proved that NH 3 volatilization in slurry was significantly affected by temperature.
For different pH values, TAN production in 8 hours shows that the urease maintained high activity at lower pH values (5.0 and 6.0) (Figure 4b). The maximum TAN production was 501.8 mM at pH 6.0, while the TAN formation rate at pH 7.0 was the fastest (35.0 ± 2.8 mM·min −1 ) in the initial 5 minutes. The urease activity was sensitive to pH changes, and the optimum performance of the TAN formation rate was 7.7 ± 1.5, 27.0 ± 5.3, 6.0 ± 2.2, and 2.2 ± 0.6 mM·min −1 at pH 5.0, 6.0, 8.0, and 9.0, respectively. The relative amounts of TAN production were calculated with reference to the enzyme catalytic process at pH 7.0 in 8 hours and the first 5 minutes. At pH 5.0, 6.0, 7.0, 8.0, and 9.0, the amount of TAN formation in the first 5 minutes accounted for 8.83%, 26.89%, 39.89%, 10.43%, and 9.00% of that in 8 hours, respectively. The results suggest that the optimal pH for urea hydrolysis by urease in fresh pig feces is 7.0 in the first stage, and that is consistent with the report by Dewes [40] and Dai and Karring [31]. The pH values were stable in higher pH buffer solution (pH 8.0 and 9.0), but the buffer capacity of the buffer solution would decrease with TAN production, and the pH began to rise in the third stage at initial pH values of 5.0, 6.0, and 7.0; the pH finally reached 8.56, 8.83, and 8.86 after 8 hours, respectively. According to the balance of NH 3 -NH 4 + , the release of NH 3 accounted for 5.21% and 35.47% of the total TAN production at pH 8.0 and 9.0, respectively (Figure 6d). The results indicated that the effect of pH conditions on the predominant ureolytic bacterial species was evident and the changes in ionic systems were more complex in the reaction process.
The maximum production of TAN in 8 hours was achieved at 500 rpm (686.3 ± 22.4 mM). The maximum rate of TAN formation occurred at the first 5 minutes at the magnetic stirring speed of 800 rpm (47.3 ± 8.1 mM·min −1 ) (Figure 4c). At the low agitation levels, the amount of TAN remaining in mixtures was significantly higher than at high speed (p < 0.05). Taking the TAN production at pH 7.0 and 300 rpm as a reference, the relative productions of TAN were 60.62%, 131.11%, 156.50%, 97.32%, and 80.96% in the whole process of 8 hours at mixing rate values of 0 rpm, 200 rpm, 500 rpm, 800 rpm, and 1200 rpm, respectively. The low agitation could not reduce TAN production for a long time, but the initial stage was significantly affected. Excessive mixing rates did not allow more TAN to remain in the fecal system. The excessive mixing rate probably caused the pH to rise rapidly, accompanied by a large release of gaseous NH 3 (Figure 6d). Van der Stelt et al. [41] found that mixing promoted the volatilization of NH 3 in the slurry in the presence of additives.
To further define the optimal experimental conditions affecting the production of TAN, a response surface analysis was performed. While maintaining a single factor constant, the TAN formation rate was used as the response value, and the interaction of the other two conditions on the response value was explored in the initial 5 minutes ( Figure 5). From the above response surface analysis, when the temperature was 35 • C, pH = 6.71, and the mixing rate reached 821.83 rpm in the initial 5 minutes, the urease in fresh PF showed the best activity. A higher temperature was not tested because there was not actually such a high temperature in the pig house.

The Hydrolysis of Urea and Production of TAN in Fresh Pig Slurry
To further explore urease activity in fresh slurry from fattening pigs, fresh feces and urine were mixed at ratio of 1:3 (w: v) [33,34]. The entire process continued for 96 hours. In addition to the TAN formation and urea hydrolysis, the changes in pH value and the volatilized NH 3 were also measured. The maximum rate of TAN formation taken at the first 5 min was 13.4 ± 1.5 mM·min −1 (Figure 6b). Compared with the rate of TAN formation in cattle slurry, it was faster in pig slurry [31]. The maximum rate of urea hydrolysis was 20.0 ± 4.5 mM·min −1 . In the initial 8 hours of the reaction, the hydrolysis rate of urea in the urine was higher than the rate of production of TAN. The concentration of formed TAN and the pH increased rapidly in the initial 8 hours, and the urea concentration in slurry also dropped very quickly at the same time (Figure 6a). The TAN concentration increased slowly after 20 h and eventually stayed at 650.2 ± 20.0 mM at the end of the experiment. However, urea was not detected at 96 h, and the total urea content in fresh pig urine was 421.7 ± 1.4 mM ( Table 1). The regression analyses of the concentration of the formed TAN and urea in fecal slurry are shown in Equations (7) and (8). To better understand the process of TAN formation at different times, the rate of TAN formation and cumulative NH 3 volatilization were calculated, respectively. According to the regression analyses of the TAN formation rate (Equation (9)), it reaches a plateau of 0.02 mM·min −1 after 8 h.
C TAN = 343.476 + 60.159lnT R 2 = 0.913 (7) The pH in pig slurry eventually stabilized at 8.60 and increased by a total of 1.87 pH units from the initial pH of 6.73. The change in pH in cattle slurry was less than that in pig slurry at the same time [31]. The increase in pH is caused by the production of NH 3 . In addition, the cumulative release of NH 3 reached 3.0 ± 1.4 mM during the entire experimental process based on the closed condition ( Figure 6c). The maximum NH 3 release rate was 0.0093 ± 0.0018 mM·min −1 at the initial stage of the reaction, and the rate reached a plateau between 0.0011 to 0.0021 mM·min −1 after 8 h. The results indicate that the total amounts of urea hydrolysis and TAN formation are substantially identical taking into account the biologically utilized NH 4 + and volatilized NH 3 during the whole process. Some previous studies have suggested that intermediates are produced in the reaction catalyzed by urease and the intermediate is mainly carbamate [42][43][44][45]. This also indirectly proves the result of a mismatch between urea hydrolysis and TAN production. To further explore urease activity in fresh slurry from fattening pigs, fresh feces and urine were mixed at ratio of 1:3 (w: v) [33,34]. The entire process continued for 96 hours. In addition to the TAN formation and urea hydrolysis, the changes in pH value and the volatilized NH3 were also measured. The maximum rate of TAN formation taken at the first 5 min was 13.4 ± 1.5 mM·min -1 (Figure 6b). Compared with the rate of TAN formation in cattle slurry, it was faster in pig slurry [31]. The maximum rate of urea hydrolysis was 20.0 ± 4.5 mM·min -1 . In the initial 8 hours of the reaction, the hydrolysis rate of urea in the urine was higher than the rate of production of TAN. The concentration of formed TAN and the pH increased rapidly in the initial 8 hours, and the urea concentration in slurry also dropped very quickly at the same time (Figure 6a). The TAN concentration increased slowly after 20 h and eventually stayed at 650.2 ± 20.0 mM at the end of the experiment. However, urea was not detected at 96 h, and the total urea content in fresh pig urine was 421.7 ± 1.4 mM ( Table  1) The pH in pig slurry eventually stabilized at 8.60 and increased by a total of 1.87 pH units from the initial pH of 6.73. The change in pH in cattle slurry was less than that in pig slurry at the same time [31]. The increase in pH is caused by the production of NH3. In addition, the cumulative release of NH3 reached 3.0 ± 1.4 mM during the entire experimental process based on the closed condition ( Figure 6c). The maximum NH3 release rate was 0.0093 ± 0.0018 mM·min -1 at the initial stage of the reaction, and the rate reached a plateau between 0.0011 to 0.0021 mM·min -1 after 8 h. The results indicate that the total amounts of urea hydrolysis and TAN formation are substantially identical taking into account the biologically utilized NH4 + and volatilized NH3 during the whole process. Some previous studies have suggested that intermediates are produced in the reaction catalyzed by urease and the intermediate is mainly carbamate [42][43][44][45]. This also indirectly proves the result of a mismatch between urea hydrolysis and TAN production. Data on the NH3 emissions from the contact between the feces and urine are lacking. The NH3 volatilization is similar to the results of Regueiro et al. [46] who directly collected fresh slurry during the same storage time. Probably due to the addition of wastewater, the cumulative NH3 emissions from the Van der Stelt et al. [42] experiment at 20 ℃ and 35 ℃ for 4 days are lower than in this paper. NH3 was not completely released as urea was hydrolyzed, and the release of NH3 was a slow and continuous process. This also proved the existence of intermediates. The hydrolysis of urea in slurry is mainly concentrated 8 hours after the mixing of the feces and urine (Figure 6a). Therefore, separation of feces and urine during the concentrated time of pig excretion is very effective in reducing the hydrolysis of urea. Such measures can not only reduce NH3 emissions from the origin but also effectively store urea in the urine. In this study, the main factors affecting the NH3 volatilization are changes in pH and mixing degree while maintaining the same temperature. The results show that the TAN production without stirring accounts for 4.09% of the 300 rpm in the initial 5 min. In addition, manure acidification is a highly praised technology that originated in Denmark in recent years, and by adding sulfuric acid to pH 5.0, urease activity can be abated to a certain extent and NH3 emission reduction can also be achieved [20,46]. Furthermore, there are still some measures that can reduce the evaporation of NH3, such as the cover of slurry, biological filter beds, reducing dietary crude protein, and so on [46,47]. Under strict control of sample collection and mixing conditions, this study accurately analyzed the process of TAN production, the hydrolysis of urea, and the change in pH in fresh slurry (after contact with feces and urine), as well as the volatilization of NH3. The exploration of the urea hydrolysis process can make the measures and technologies for reducing NH3 emissions more targeted and effective.

Conclusions
The results show that the maximum rate calculated for TAN formation was 53.8 ± 2.5 mmol·kg -1 ·min -1 at a urea concentration of 400 mM, and the specific Vmax and K'm values of the urease activity in fresh pig feces were 26.9 ± 1.2 mmol·[urea]·kg -1 ·min -1 and 99.7 ± 3.5 mmol·[urea]·l -1 , respectively. The optimal urease activity occurred at 35 ℃, pH 6.71, and 821.83 rpm of stirring for the first 5 minutes. In fresh slurry, the rate of urea hydrolysis determined directly was higher than the corresponding TAN formation rate in the early stage of reaction (0-8 h) and was accompanied by a rapid rise in pH at the same time. The release of NH3 was a slow process in which intermediates were present during the hydrolysis of urea. Low temperature, low pH, and controlled agitation can effectively inhibit urease activity. The hydrolysis of urea in slurry is mainly concentrated 8 hours after the mixing of the feces and urine. Therefore, separation of feces and urine during the concentrated time of pig excretion is very effective in reducing the hydrolysis of urea. Data on the NH 3 emissions from the contact between the feces and urine are lacking. The NH 3 volatilization is similar to the results of Regueiro et al. [46] who directly collected fresh slurry during the same storage time. Probably due to the addition of wastewater, the cumulative NH 3 emissions from the Van der Stelt et al. [42] experiment at 20 • C and 35 • C for 4 days are lower than in this paper. NH 3 was not completely released as urea was hydrolyzed, and the release of NH 3 was a slow and continuous process. This also proved the existence of intermediates. The hydrolysis of urea in slurry is mainly concentrated 8 hours after the mixing of the feces and urine (Figure 6a). Therefore, separation of feces and urine during the concentrated time of pig excretion is very effective in reducing the hydrolysis of urea. Such measures can not only reduce NH 3 emissions from the origin but also effectively store urea in the urine. In this study, the main factors affecting the NH 3 volatilization are changes in pH and mixing degree while maintaining the same temperature. The results show that the TAN production without stirring accounts for 4.09% of the 300 rpm in the initial 5 min. In addition, manure acidification is a highly praised technology that originated in Denmark in recent years, and by adding sulfuric acid to pH 5.0, urease activity can be abated to a certain extent and NH 3 emission reduction can also be achieved [20,46]. Furthermore, there are still some measures that can reduce the evaporation of NH 3 , such as the cover of slurry, biological filter beds, reducing dietary crude protein, and so on [46,47]. Under strict control of sample collection and mixing conditions, this study accurately analyzed the process of TAN production, the hydrolysis of urea, and the change in pH in fresh slurry (after contact with feces and urine), as well as the volatilization of NH 3 . The exploration of the urea hydrolysis process can make the measures and technologies for reducing NH 3 emissions more targeted and effective.

Conclusions
The results show that the maximum rate calculated for TAN formation was 53.8 ± 2.5 mmol·kg −1 ·min −1 at a urea concentration of 400 mM, and the specific V max and K' m values of the urease activity in fresh pig feces were 26.9 ± 1.2 mmol·[urea]·kg −1 ·min −1 and 99.7 ± 3.5 mmol·[urea]·l −1 , respectively. The optimal urease activity occurred at 35 • C, pH 6.71, and 821.83 rpm of stirring for the first 5 minutes. In fresh slurry, the rate of urea hydrolysis determined directly was higher than the corresponding TAN formation rate in the early stage of reaction (0-8 h) and was accompanied by a rapid rise in pH at the same time. The release of NH 3 was a slow process in which intermediates were present during the hydrolysis of urea. Low temperature, low pH, and controlled agitation can effectively inhibit urease activity. The hydrolysis of urea in slurry is mainly concentrated 8 hours after the mixing of the feces